After having completed all steps to use a newer (and probably more functional)
Wordpress to Twitter sending plugin, it should be that my Tweets now should
show all my posts, I post from now on. Hopefully this will work in any manner
and help you using my blog from Twitter also. Sorry for any inconvenience!

On the other hand I really welcome a very secure authentication method for sharing data between social media platforms and blogs. It happens very often that accounts get stolen or misused from some crap. And as long as OAuth won’t fail due to whatever reasons, my tweets from my blog should be authentic also.

Have a nice evening!